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安徽省安庆市怀宁县第二中学2018-2019学年高三上学期第四次月考数学(理)试题
适用年级:高三 试卷类型:月考 试题总数:22 浏览次数:42 上传日期:2020-05-23
1 . 已知全集eqId9b2e6c4a23694c31b2921ef832062ff4eqIdc48479a5cfa64909b0017db8958e15b7eqId788d5bb323634bbeb79eb679d780b7bb,则eqId03c93e9b103b4cf3bdcceec8f6961933( )
A.eqIdf610c93de0fd4df4a1fc376c6cd0671bB.eqIdfdd587166d504886bf530815537a16daC.eqId9d3adf1105d84ce798698dca1fe11622D.eqIdd38b6a3395624bf8b2406d98caf2f305
更新:2020/05/23难度:0.94题型:单选题组卷:474
2 . 在等差数列eqId93e38ecd74a24cb59da79181b95bfd3a中,eqId4831341d2fc84b53a79f7e1042e8458d,则eqId26674cbf320d4da6ac471da42f6c1874(   )
A.eqIdc052ddfbd4524f67a79e0e77c2e5656aB.eqIdddd35c5d043e4ebeac32a99367053c68C.eqIddd4bf187d3fd47f6bcc24e568e09643eD.eqId401586f7a7f248b7904a4cfeaa2ed2f0
更新:2020/05/23难度:0.85题型:单选题组卷:448
3 . 网格纸上的小正方形边长为1,粗实线画出的是最某几何体的三视图,则该几何体的表面积为(  )
figure
A.eqIdd7b2b968c9f84c40946748c8585459dcB.eqId300633730b224e85bbe02c593ec5a714C.eqId04fa0e1c0c0c4c73a3ec6cb081a22b19D.eqId0915ae7ebd6c4c6680ec9535c6d93c5e
更新:2020/05/23难度:0.65题型:单选题组卷:450
4 . 已知eqId8bc91cbdb1a9443eab606c62e349f3a4,则eqId0ce93bfa1f6a4a23b3258410dd19847a的大小为(   )
A.eqId0b6548a2f82b4900bf8b5c24afd5ed7aB.eqId96f25c3294b2457ca92c563e42cd8713C.eqId2b09921788f943369b8b2d69257fdda4D.eqId18513915a070416db1e6b2d279419695
更新:2020/05/23难度:0.85题型:单选题组卷:311
5 . 若函数eqId482549d0a546439682de19267bd0aeda图象的横坐标伸长到原来的2倍, 纵坐标不变,再向左平移eqIdd3e88ecbd2db456396e01302a43b93d9得到函数eqIdfcaf3bbe14e548cc8d47beb2467db5a0的图象,则有(   )
A.eqId7e52af2b0adb4ff5863dc0d89e7ac3e7B.eqIdeab54bf45b274c378e13ec463351a8f4C.eqIdc9b05d605ffa4d2a8b50b9dcc0718529D.eqId3a20dd6562154310a5c167eb82394e2c
更新:2020/05/23难度:0.65题型:单选题组卷:254
6 . 已知命题eqId9bac2bcdd0494a959181d96f131f0e20eqId921f2cbe51c24d8eb6de4ac3f22275fe,则eqId0b8f4e5f137e4837afbb2b8535113a45,命题eqId2483463407414cd88c038c07118752d0eqId928b8831af244ed1a44cb2531fbdbfb3,则eqId5550a7d7fd094345af5a18944f841fdc,则有(   )
A.eqId0c243e5dded24989821daf9bef2676a6为真B.eqId8b5e034d124c40b59f33a767ed1e4b9e为真C.eqIdc89abe1e4d584e16b3718409cb609213为真D.eqId58e985f4c1274617875fade491b4d643为真
更新:2020/05/23难度:0.65题型:单选题组卷:210
7 . 若eqId9f101bd12a134fb8be2486300f1f7881,则eqId72574e474cd244b792c7f4ea116838c6(  )
A.eqIda8012d5322b240128851ebf3cd086e12B.eqId4c0fea3781d84454a9f933aab6fe70bcC.eqId5f51ce9cc7fe4412baeb871cceb26665D.eqId4adf22999d4e47da945bc7c62e3f9824
更新:2020/05/23难度:0.65题型:单选题组卷:686
8 . 如图所示,扇形eqId5f0bfa1486d74501a6ac424f8d442778的半径为eqIdc052ddfbd4524f67a79e0e77c2e5656a,圆心角为eqId4f1f8e9318304058ad58388cc72955ae,若扇形eqId5f0bfa1486d74501a6ac424f8d442778eqIdbb9a819299654135a84936d08d832c73旋转一周,则图中阴影部分绕eqIdbb9a819299654135a84936d08d832c73旋转一周所得几何体的体积为( )
figure
A.eqId5c266efbf3414de1a1d1e2d3553a9c42B.eqId754b0f61a97c4c8d9e32c2aca27cb1d3C.eqIddbe4e2d04a3e4197b45581f410b43b86D.eqId4fe908a8a9da430b96e382a9dc347187
更新:2020/05/23难度:0.65题型:单选题组卷:278
9 . 函数eqId17c98731d2a7458493c2b4eb795d4752的图象大致为(   )
A.figureB.figure
C.figureD.figure
更新:2020/05/23难度:0.85题型:单选题组卷:0
10 . 已知从1开始的连续奇数蛇形排列形成宝塔形数表,第一行为1,第二行为3,5,第三行为7,9,11,第四行为13,15,17,19,如图所示,在宝塔形数表中位于第eqIdb6e15e51d29a47a7aff44f98b1aafaee行,第eqIdc7d58dd623df4bdab3285964173faf12列的数记为eqIdda35af48176f4b52a2a63bd585a481a7,比如eqId90f71c4e52ad4e648594376879da4586eqId04467d8c340b440bb72436622a83441feqId60937e69fd58465f9bfa9fef927ed8c7,若eqIdca7fa3f707f044d5bfb7e541445748c1,则eqIdbbedd59caa694097b7720bf858c47095(   )
figure
A.64B.65C.71D.72
更新:2020/05/23难度:0.4题型:单选题组卷:266
11 . 已知不等式eqId32e41a284c8245ef91e315f57aa17e23对任意实数eqId8e15963708e9415da25069fea5906e24eqId072d7d6b911b42bc89207e72515ebf5f恒成立,则实数eqId70a27b6ddf6b478285353abb3b1f3741的最小值为(   )
A.eqId401586f7a7f248b7904a4cfeaa2ed2f0B.eqIddd4bf187d3fd47f6bcc24e568e09643eC.eqIdddd35c5d043e4ebeac32a99367053c68D.eqIdc052ddfbd4524f67a79e0e77c2e5656a
更新:2020/06/04难度:0.65题型:单选题组卷:178
12 . 已知函数eqId4837c94ef0ff4dcf9b1dda4df363275a是定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,若eqIdd70062921c9045af9a8c6280f5d68862eqIdbea73495b5774a129eba1a94d531797feqId28c4c21271884dfeac29ce0222782376的导函数,对eqId6709283711bf4ae39fde99d031d3bb28,总有eqIdb8a40da20ade405f88e13165ec8a47b6,则eqId4ca1c340701e495c907804a4a1b65886的解集为(   )
A.eqIdcd23deec614f478589b5ff357029ae50B.eqId2fe40428a78d49588d13fa51f63ca7a3C.eqIdc5c7c5286242469287dcf3f6342a147dD.eqIddca4c31f92e1447fb6eceb9fdf294175
更新:2020/05/23难度:0.65题型:单选题组卷:1241
13 . 若eqIdf6214e67e87242dda2f7bc63a2a77f00,若eqId9f80832c93d046fa81aff72a272044b8,则eqId70c52126b23a4d5388d832c32cc794a4_____
更新:2020/05/23难度:0.85题型:填空题组卷:170
14 . 已知实数x,y满足eqIdc1c4fe3bfcf44876a325a5a204933589的最小值为___________
更新:2020/05/23难度:0.85题型:填空题组卷:301
15 . 已知在数列eqId93e38ecd74a24cb59da79181b95bfd3a的前eqIdf458db68122849abb588feb2e682d9ac项之和为eqIddb5481de79c946c0a760143297d5eade,若eqId3f94ca6301d14eacbd184c730b4dfb39,则eqId1a98035dcce642de9748cd86685de81b_______.
更新:2020/05/23难度:0.65题型:填空题组卷:390
16 . 四棱锥eqIddd5f333edd7c4a01b271754239943f8d中,底面eqId5ce7a06ae7a34393b92b5277978ac014是边长为eqIdc052ddfbd4524f67a79e0e77c2e5656a的正方形,侧面eqId5e5c8c16c06b4210be29bb9922f138c7是以eqId6cf017611ebe4927af87855665e01c80为斜边的等腰直角三角形,若eqIdc43ebf8571b5420386d0a2d406b00a9b,则四棱锥eqIddd5f333edd7c4a01b271754239943f8d的体积取值范围为_____
更新:2020/05/23难度:0.4题型:填空题组卷:1482
17 . 已知角eqIdf9db0aee08264a238b9741675591065e终边上eqId8bea022de11046acb032da889a2b58ce, 且eqIde8f37fee8ce0463ea77c5db5abd2af92,求:eqIdcb99b49718a54e3abbf4a8a02f046341的值.
更新:2020/05/23难度:0.65题型:解答题组卷:369
18 . 已知单调的等比数列eqId2c1230a9ef5a4968be599681d676dd2b的前eqIdf458db68122849abb588feb2e682d9ac项和为eqIddb5481de79c946c0a760143297d5eade,若eqIdaad40184a77d4aa9b9ec761a2db89bf3,且eqId2cde76c9a404410c963d41e94d1bdbd6eqIdca19c700219248bdb9970e80e029af74eqIde7667365139444fea631a2b92e7eecbf的等差中项.
(1)求数列eqId2c1230a9ef5a4968be599681d676dd2b的通项公式;
(2)若数列eqIda0db2906046940e19de8782f94f34137满足eqIdcad886e90e5a42c3b3883b973e1de59a,且eqIda0db2906046940e19de8782f94f34137eqIdf458db68122849abb588feb2e682d9ac项的和为eqId92ed363a54bd4a8a93df9463bb3af1f5,求eqId1e560558a28943989b4296f4686093e8.
更新:2020/05/23难度:0.65题型:解答题组卷:326
19 . 设函数eqId79a76c356cae4e8889eac713f2d7888e
eqId28fe7ea2cdd940a3890be5a8f24864c9eqId1dff27163d4a47f3a3201b3b8d5ae407eqId75edd6ff38f44f73b1a72ae1266165fe的单调增区间;
eqId28fe7ea2cdd940a3890be5a8f24864c9eqId1dff27163d4a47f3a3201b3b8d5ae407已知eqId7d9a9f629a9249f9b27148eed1fce4a5的内角分别为ABC,若eqId0d39730eba834aa4921ad96c43d25620,且eqId7d9a9f629a9249f9b27148eed1fce4a5能够盖住的最大圆面积为eqId7a1ead8f5cfa47f1b68f0ca61cd1599a,求eqId6d29539822134bdaab85c265a204c3ee的最大值.
更新:2020/05/23难度:0.65题型:解答题组卷:649
20 . 如图,三棱柱eqId9881c5faa5cb449bb37fa59b41c76e43的侧面eqId38df751166484f09b6aeaf66df4e2d17是矩形,侧面eqId38df751166484f09b6aeaf66df4e2d17⊥侧面eqIde34726e130e14183a5fc4272dc576bfc,且eqIdff848b519d734dd0b5badc047210424beqId4352e3ecf124443c857c01573d3aee2aeqId0cd8063abf2b458f80091bc51b75a904eqId99a3187c2b8f4bcc9703c74c3b72f1f3的中点.
figure
(1)求证:eqId6736f952eef94c70a9c5dbaa0da8831e∥平面eqIdac5e97fd1c1543f09ca85c7b7c62fe2e
(2)求证:eqId67e990c6d83c4c33868986733894b6e7⊥平面eqId38df751166484f09b6aeaf66df4e2d17
更新:2020/05/23难度:0.65题型:解答题组卷:200
21 . “水资源与永恒发展”是2015年联合国世界水资源日主题,近年来,某企业每年需要向自来水厂所缴纳水费约4万元,为了缓解供水压力,决定安装一个可使用4年的自动污水净化设备,安装这种净水设备的成本费(单位:万元)与管线、主体装置的占地面积(单位:平方米)成正比,比例系数约为0.2.为了保证正常用水,安装后采用净水装置净水和自来水厂供水互补的用水模式.假设在此模式下,安装后该企业每年向自来水厂缴纳的水费C(单位:万元)与安装的这种净水设备的占地面积x(单位:平方米)之间的函数关系是C(x)=eqId590636d88bcd40bcbed73cb94ff39cef (x≥0,k为常数).记y为该企业安装这种净水设备的费用与该企业4年共将消耗的水费之和.
(1)试解释C(0)的实际意义,并建立y关于x的函数关系式并化简;
(2)当x为多少平方米时,y取得最小值,最小值是多少万元?
更新:2020/05/23难度:0.65题型:解答题组卷:66
22 . 设函数eqIdeae2f6d3c67944c887be6475fe7ce201
(Ⅰ)若eqId6f13759e937144069819aed2ae5a1057eqIddcf5b30f6a19464fa0936e1b3a5a4898处的法线(经过切点且垂直于切线的直线)的方程为eqId62b84cb356df44a9b6610142f390120f,求实数eqId4959a8a13c0b40f3a3b076626a4b616c的值;
(Ⅱ)若eqId5db4a4f976ba42089c0439595abeb40beqId6f13759e937144069819aed2ae5a1057的极小值点,求实数eqId70a27b6ddf6b478285353abb3b1f3741的取值范围.
更新:2020/05/23难度:0.65题型:解答题组卷:254